Mathematics (US) - 0444 CIE

Graph Solutions To Linear Inequalities In Two Variables

Gbogbo ọrọ náà

A linear inequality in two variables does not have a single solution: it has a whole region of points that satisfy it. Shading that region turns the inequality into a picture, which is exactly how solutions are shown and combined.

In this lesson you will graph the solution to a linear inequality in two variables as a half-plane (region), and decide whether the boundary line is included.

Ebumnobi

  1. Graph the solution to a linear inequality in two variables as a half-plane (region), distinguishing whether the boundary is included.

Akọmọ Ojú-ẹkọ

Regions defined by inequalities are the basis of linear programming and of any problem with constraints, where you look for the points that satisfy several conditions at once.

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Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na Graph Solutions To Linear Inequalities In Two Variables. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

  1. The solution of a linear inequality in two variables is: A. one point B. a line C. a half-plane (region) D. a curve Answer: C
  2. For a strict inequality (>), the boundary line is drawn: A. solid B. dashed C. doubled D. not at all Answer: B
  3. For y <= x + 1, the boundary line is drawn: A. dashed B. solid C. wavy D. red Answer: B
  4. To decide which side to shade you use a: A. ruler B. test point C. protractor D. tangent Answer: B
  5. Testing (0, 0) in y > x + 1 gives 0 > 1, which is false, so you shade: A. the side containing the origin B. the side not containing the origin C. both sides D. neither side Answer: B

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese
Onye inyeaka mmụta AI
Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla
Ọ dị na Android, Windows, macOS, na Linux

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese
Onye inyeaka mmụta AI
Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla
Ọ dị na Android, Windows, macOS, na Linux

Meecha Ajụjụ Ule Ọmarịcha

Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Graph Solutions To Linear Inequalities In Two Variables? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.

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